Question
Construct the angle with the help of ruler and compasses only:
135°
135°
✓
Answer
Draw the line AB and take the point O at the middle of AB.
With a convenient radius and centre at O, draw an arc, which cuts AB at P and Q, respectively.
Draw an angle of 90° on the ray OB as $\angle\text{BOC}=90^{\circ},$ where ray OC cuts the arc at R.
With Q and R as centres and radius more than half of QR, draw two arcs, which cuts each other at S.
Draw OS and extend it to form the ray OD.
$\angle\text{BOD}$ is required angle of 135°.
With a convenient radius and centre at O, draw an arc, which cuts AB at P and Q, respectively.
Draw an angle of 90° on the ray OB as $\angle\text{BOC}=90^{\circ},$ where ray OC cuts the arc at R.
With Q and R as centres and radius more than half of QR, draw two arcs, which cuts each other at S.
Draw OS and extend it to form the ray OD.
$\angle\text{BOD}$ is required angle of 135°.
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